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Numerical Study of Conformable Space and Time Fractional Fokker–Planck Equation via CFDT Method

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Mathematical Analysis II: Optimisation, Differential Equations and Graph Theory (ICRAPAM 2018)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 307))

Abstract

In this article, conformable fractional differential transform (CFDT) method has been successfully implemented to compute the numerical solution of space–time fractional Fokker–Planck equation with conformable fractional derivative. The computed results are compared with the existing results in the literature, and also depicted graphically for \(\alpha =\beta =1\). The accuracy of the computed results for different values of \(\alpha \) and \(\beta =1\) is measured in terms of \(L_2\) error norms. The findings show that the present results agreed well with the results by various well-known methods such as Adomian decomposition method (ADM), variational iteration method (VIM), fractional variational iteration method (FVIM) and fractional reduced differential transform method (FRDTM), and so forth. The proposed results converge to the exact solutions.

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Author information

Authors and Affiliations

  1. Department of Mathematics, School for Physical Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow, 226 025, UP, India

    Brajesh Kumar Singh & Anil Kumar

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  1. Brajesh Kumar Singh
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  2. Anil Kumar
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Correspondence to Brajesh Kumar Singh .

Editor information

Editors and Affiliations

  1. Department of Applied Mathematics, Delhi Technological University, New Delhi, India

    Naokant Deo

  2. Department of Mathematics, Netaji Subhas University of Technology, New Delhi, India

    Vijay Gupta

  3. Department of Mathematics, Lucian Blaga University of Sibiu, Sibiu, Romania

    Ana Maria Acu

  4. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    P. N. Agrawal

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Singh, B.K., Kumar, A. (2020). Numerical Study of Conformable Space and Time Fractional Fokker–Planck Equation via CFDT Method. In: Deo, N., Gupta, V., Acu, A., Agrawal, P. (eds) Mathematical Analysis II: Optimisation, Differential Equations and Graph Theory. ICRAPAM 2018. Springer Proceedings in Mathematics & Statistics, vol 307. Springer, Singapore. https://doi.org/10.1007/978-981-15-1157-8_19

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